Capital allocation

Part 1:
Explain the concept of asset allocation and the two-fund theorem, by describing the procedure to
find the optimal capital allocation line in a market with two risky assets and the risk-free asset. Make
sure you pay attention to:
▪ The steps required to build the portfolios
▪ The combination with the risk-free rate
▪ What are the possibilities of leveraging-deleveraging on the capital allocation line
This is a theory question, no Excel needed. Write the answer in Section 1 of the report.
If you want, you can help yourself with graphs to clarify your answers.
Part 2 (Excel):
Now assume you want to invest in a market with two risky assets and the risk-free rate. The numbers
are in the below table:
Risky
Asset 1
Risky
Asset 2
Risk-free
Asset
?(?) 12.50% 7.50% 1.25%
? 25.50% 15.50%
?12 0.65
It is possible to choose from eight different portfolios of risky assets, with weights:
Weight
(Risky Asset 1)
Weight
(Risky Asset 2)
Portfolio 1 -20% 120%
Portfolio 2 0% 100%
Portfolio 3 20% 80%
Portfolio 4 40% 60%
Portfolio 5 60% 40%
Portfolio 6 80% 20%
Portfolio 7 100% 0%
Portfolio 8 120% -20%
Show how it is possible to select the best risky portfolio, given the information you have.
Solve this part by doing the calculations on the Excel file and write the answer in Section 2 of the
report, with comments.
If you want, you can help yourself with graphs (Excel screenshots) to clarify your answers.
For this part you also have to submit the Excel file.
MBA53048, Portfolio Management
Individual Assignment (MSM Kuwait, February 2021)
Instructor and Examiner: Angelo Corelli 3
Part 3:
Explain how it is possible to measure the performance of a portfolio (fund) based on the features of
the portfolio itself. How many tools you know for it? Answer by addressing the following points:
▪ Explain the differences between the tools
▪ Clearly indicate which tool is better to use for measuring the performance relative to the
benchmark.
▪ Clearly indicate which tool is better to use for measuring the consistency of the performance.
This is a theory question, no Excel needed. Write the answer in Section 3 of the report.
Part 4 (Excel):
Consider now a market where three funds can be traded, and you want to understand which is the
best investment for you, based on all the performance measurement tools learned in class.
The numbers are:
?(?) ? Beta Tracking Error
Fund 1 10.50% 16.50% 0.10 18.00%
Fund 2 16.50% 23.50% 1.10 21.00%
Fund 3 35.50% 32.00% 0.50 22.50%
Index 15.00% 18.50%
Risk-free 1.25%
Write the solution in Section 4 of the report and answer the following questions as well:
▪ Which fund(s) outperform the benchmark (index)?
▪ Which portfolio offers the highest compensation for risk?
▪ Which fund has the most consistent performance over time?

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